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Finding the Fourth Proportional to 81,933, 122,785.20 and 61,926.06

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Solution

The fourth proportional to 81,933, 122,785.20 and 61,926.06 is: 92,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,933 : 122,785.20 = 61,926.06 : x
  2. Step 2: Convert to fraction form
    81,933/122,785.20 = 61,926.06/x
  3. Step 3: Cross multiply
    81,933x = 122,785.20 × 61,926.06
  4. Step 4: Simplify right side
    81,933x = 7,603,603,662.31
  5. Step 5: Solve for x
    x = 7,603,603,662.31/81,933
  6. Step 6: Final answer
    x = 92,802.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.